I doubt it, it takes a ton of fuel to get a missile with a warhead and the required electronics to guide it to the target, its a lot harder when the plane is so high and moving so fast, can't exactly get a heat lock from the ground. So you gotta have the electronics (radar) to get a good idea of where the plane will be so the missile can get close enough to get a heat lock. Still, just the fuel to get the warhead from a stinger that high somehow magically going in a straight line from the ground to where the aircraft would be without any additional tracking or guidance would probably be more than could be carried by a man.
If that was even remotely possible you wouldn't see those huge tracked SAM vehicles still being built and upgraded. Could you imagine the huge defensive advantage to a country like Russia if they had legitimate man portable SAMs? Air superiority would be virtually impossible for all but a very few of our aircraft.